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Zero sets of entire functions of exponential type with additional conditions on the real axis
Author(s):
S.
Yu.
Favorov
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 20
(2008),
nomer 1.
Journal:
St. Petersburg Math. J.
20
(2009),
95-100.
MSC (2000):
Primary 30D15;
Secondary 30D10, 30D45
Posted:
November 13, 2008
MathSciNet review:
2411971
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References |
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Additional information
Abstract:
A complete description of the zero sets is obtained for some well-known classes of entire functions of exponential growth.
References:
-
- 1.
- B. Ja. Levin, Distribution of zeros of entire functions, `Gostekhizdat, Moscow, 1956; English transl., Transl. Math. Monogr., vol. 5, Amer. Math. Soc., Providence, RI, 1980. MR 0087740 (19:402c); MR 0589888 (81k:30011)
- 2.
- -, Lectures on entire functions, Transl. Math. Monogr., vol. 150, Amer. Math. Soc., Providence, RI, 1996. MR 1400006 (97j:30001)
- 3.
- P. Koosis, The logarithmic integral. I, Cambridge Stud. Adv. Math., vol. 12, Cambridge Univ. Press, Cambridge, 1988; II, Cambridge Stud. Adv. Math., vol. 21, Cambridge Univ. Press, Cambridge, 1992. MR 0961844 (90a:30097); MR 1195788 (94i:30027)
- 4.
- B. N. Khabibullin, Completeness of systems of exponentials and sets of uniqueness, Bashkir. Univ., Ufa, 2006. (Russian)
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Additional Information:
S.
Yu.
Favorov
Affiliation:
Department of Mathematics, Kharkov National University, Svobody Square 4, Kharkov 61077, Ukraine
Email:
favorov_s@mail.ru, fav@univer.kharkov.ua
DOI:
10.1090/S1061-0022-08-01039-X
PII:
S 1061-0022(08)01039-X
Keywords:
Entire function of exponential type,
Cartwright's function,
zero set
Received by editor(s):
7/JUL/2006
Posted:
November 13, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
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